Answer:
hvcr;vg;ie
Step-by-step explanation:
Who know this answer
x=12,y=12√3
sin60=y/24
√3/2×24=y
y=12√3
again
24^2=x^2+y^2
576=x²+12×12×3
x²=576-432
x=√144
x=12
Write the next term of the AP: V8, V18, V32.
Answer:
the next term will be V50
Answer:
v40
Step-by-step explanation:
Evaluate the expression.
(-7) + (-3)
Answer:
-10
Step-by-step explanation:
Answer:
= -10
Step-by-step explanation:
-7 + (-3)
=
-7 - 3
-10
Let R be the triangular region in the first quadrant with vertices at points (0,0), (a,0), and (0,b), where a and b are positive constants. Write dow the volume of the solid generated when region R is revolved about the x-axis?
Answer:
volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)
from the image;
the equation of AB will be;
y-b / b-0 = x-0 / 0-a
(y-b)(0-a) = (b-0)(x-0)
0 - ay -0 + ba = bx - 0 - 0 + 0
-ay + ba = bx
ay = -bx + ba
divide through by a
y = [tex]\frac{-b}{a}[/tex]x + ba/a
y = [tex]\frac{-b}{a}[/tex]x + b
so R is bounded by y = [tex]\frac{-b}{a}[/tex]x + b and y =0, 0 ≤ x ≤ a
The volume of the solid revolving R about x axis is;
dv = Area × thickness
= π( Radius)² dx
= π ( [tex]\frac{-b}{a}[/tex]x + b )² dx
V = π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
Therefore, volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
The volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].
Equation of the line AB
[tex]y-0 = \frac{b-0}{0-a} (x-a)[/tex]
[tex]y = \frac{-b}{a} (x-a)[/tex]
What is the volume generated when a curve f(x) is generated about the x-axis?The volume generated when a curve f(x) is rotated about the x-axis in x∈(c,d) is given by:
[tex]V=\int\limits^d_c {y^2} \, dx[/tex]
So, the volume generated when line AB is rotated about the x-axis will be [tex]V=\int\limits^b_0 ({\frac{-b}{a} (x-a))^2} \, dx[/tex]
[tex]V=\frac{b^{5} }{3a^{2} }[/tex]
Therefore, the volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].
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Noah has 10 meters of rip .How many pieces of rope length 1/2 meter can he cut from?
Please explain your work
Answer:
the number of 1/2 m rope which can be cut from 10 m long rope = 10 / (1/2) = 20 pieces of 1/2 m rope
Answer: He can cut 5 meters of rope.
Step-by-step explanation:
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Need help finding the equilibrium price and quantity
Answer:
101u3 1355
Step-by-step explanation:
I had just taken the quiz
3 more than a number is greater than 27
Answer:
n+3 > 27
Step-by-step explanation:
The inequality that represents the statement is x + 3 > 27 and the values of (x) which are greater than 24 are the possible solutions of this inequality.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It uses the following following operators to make comparison → >, <, ≤, ≥.
Given is the following mathematical verbal statement -
3 more than a number is greater than 27
We will first convert it into the inequality and then solve it. The inequality expression can be written by assuming a number. Let it be (x). So, we can write -
x + 3 > 27
Subtract 3 from both sides -
x + 3 - 3 > 27 - 3
x > 24
The inequality given above represents the statement and the values of (x) which are greater than 24 are the possible solutions of this inequality.
Therefore, the inequality that represents the statement is x + 3 > 27 and the values of (x) which are greater than 24 are the possible solutions of this inequality.
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Can I get help on C plz
Answer:
the answer would be 6...
Someone please help and thank you
Answer:
8:3
Step-by-step explanation:
The GCF of each of them is 8. Divide both of them by it you'll get the ratio
in equivalence the answer is 8 3
Help please asap!I clicked on that answer by accident btw ;-;
Answer:
the one you have clicked is correct :)
Step-by-step explanation:
Help!! Picture added:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
X = 4
Step-by-step explanation:
That traingle is an isosceles triangle. You know this because the base angles, 45 and 45 are the same. Another characteristic of an iscosceles traingle is that the base sides ( in this case 4 and X ) are always the same
GUYS I NEED HELP PLSSSSSS! Ive been working on this ALL day!
First, let's write what we know.
We can represent the number of students in the play from each class as L, G, and C. We know that L = 7, and if Gardener has 4 more students than Cho, then G = C + 4.
Then, taking the third line, we can write an inequality:
C < L < G
C < 7 < C + 4
C - 4 < 3 < C
3 < C < 7
If C is greater than 3 and less than 7 and is an integer, than means C is 4, 5, or 6.
Then, we need to find how many students are in the play.
C + L + G
C + 7 + C + 4
2C + 11
So we have our expression for the number of students in the play. Then, we need to find the total number of students. We know that 2C + 11 will be 30% of the total, so if T is the total, we can find T.
0.3T = 2C + 11
(Divide by 3/10 or multiply by 10/3 on both sides)
T = 20/3 C + 110/3
We know from before that C is 4, 5 or 6. We can plug these into our equation here to find which one produces a whole number.
T = 20/3 * 4 + 110/3
T = 190/3
T = 20/3 * 5 + 110/3
T = 210/3
T = 70
T = 20/3 * 6 + 110/3
T = 230/3
We can see here that only when C is 5 will the total be a whole number. That means Mrs. Cho has 5 students in the play. If Mrs. Gardner has 4 more than that, she has 9 students in the play in her class. We now need to figure out the number of student in her class.
The total students are Cho's, Logan's, and Gardner's classes added together. We know that Logan's class is 23 students, so if we subtract that from the total, we can see that Cho's and Gardner's class have 47 students. If Mrs. Cho has 24 students in her class, we can subtract that from the 47, so we know that Mrs. Gardner has 23 students in her class.
In the diagram below of triangle DEF, G is a midpoint of DE and H is a midpoint of EF. If GH = 5x−34, and DF = 20−x, what is the measure of DF?
Answer: 8
Step-by-step explanation:
Darius has a 6-month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I = Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months.
The amount of interest that's owed by Darius after 6 months will be $14
Principal = $500
Rate = 5.6%
Time = 6 months.
Based on the information given, the simple interest will be calculated as:
Simple Interest = PRT/100
Simple Interest = ($500 × 5.6 × 1/2) / 100
Simple Interest = $1400/100
Simple Interest = $14
Therefore, the amount of interest that's owed by Darius after 6 months will be $14
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2/9 divided by 1 2/3
Answer: 2/15
Believe me I put the same thing and I got it correct.
Which situation can be represented by 4x + 20 = 9x ?
The price of 9 books is $20 more than the price of 4 books. What is the price of a book?
The price of 4 books is $20 more than the price of 9 books. What is the price of a book?
The price of 9 books equals $24. What is the price of a book? Joyce bought x number of $4 books and $9 books. She spent $20. How many books of each price did she buy?
Answer:
The price of 9 books is $20 more than the price of 4 books. What is the price of a book?Step-by-step explanation:
Target equation is
4x + 20 = 9xComparing this with situations below
The price of 9 books is $20 more than the price of 4 books. What is the price of a book?
9x = 20 + 4x, correctThe price of 4 books is $20 more than the price of 9 books. What is the price of a book?
4x = 9x + 20, incorrectThe price of 9 books equals $24. What is the price of a book?
9x = 24, incorrectJoyce bought x number of $4 books and $9 books. She spent $20. How many books of each price did she buy?
4x + 9x = 20, incorrectWORTH 30 POINTS *will give you brainliest*
Answer:
x = 3
Step-by-step explanation:
MN is exactly half of 6x + 2 (midpoint theorem)
2(2x + 4) = 6x + 2
4x + 8 = 6x + 2
-2x + 8 = 2
-2x = -6
x = 3
SOMEONE PLEASE HELP ME TIMED
What is the next term of the geometric sequence?
−128/27,32/9,−8/3,?
Answer:
2
Step-by-step explanation:
You want to put a fence around your large yard. There are two companies that you have found to do the work. They have each given you a quote for how much the work will cost. Of course, you want to find out which company will be the cheapest. The boundary of your yard is determined by five trees. The lines connecting them form the edge of your property. Shown below are the descriptions for the positions of the trees relative to your house.
TREE Position (relative to your house)
1 100 ft. east 2 40 ft east, 80 ft south 3 40 ft west, 120 ft south 4 90 ft west, 60 ft north 5 20 ft east, 110 ft north
STEP 1: On graph paper, mark the position of each of the trees on your land. Let each block of the graph paper represent a 10-foot by 10-foot square. Using a straightedge, connect Tree 1 to Tree 2, Tree 2 to Tree 3, Tree 3 to Tree 4, and so on.
STEP 2: Use the Pythagorean Theorem to find the length of each side of your property. Round
STEP 2
Length of segment 1 - 2 = √(8² + 6²) = 10 × 10 = 100 feet
Length of segment 2 - 3 = √(4² + 8²) = 4·√5× 10 = 40·√5 feet = 89.44 ft.
Length of segment 3 - 4 = √(5² + 18²) = √349 = 10·√349 feet = 186.82 ft.
Length of segment 4 - 5 = √(11² + 5²) = √146 = 10·√146 feet = 120.83 ft.
Length of segment 5 - 1 = √(11² + 8²) = √185 = 10·√185 feet = 136.01 ft.
How was this step done? Can you explain to me please?
Answer:
563
Step-by-step explanation:
because when you multiply the answer you get
A farmer is purchasing hay for his cows. Before tax, one ton of hay costs $130. The farmer wants to know the total price, including a 6% sales tax.
Answer:
t-120(30
Step-by-step explanation:
Answer:
idek this one was confusing for me to
Ms. Hagan invested twice as much money in an account that pays 7% interest as she did in an account that pays 6% in interest. Her total investment pays her $1,000 a year in interest. How much did she invest at each rate?
Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.
Step-by-step explanation:
Let P be the initial amount she invested in an account that pays 6% interest.
Then, amount invested in other account = 2P
Simple interest = Principal x rate x time
After one year, for the first account,
Interest = P(0.06)(1) = 0.06P
For second account,
Interest = (2P)(0.07)(1)=0.14P
Total interest = [tex]0.06P+0.14P=1000[/tex]
[tex]\Rightarrow\ 0.20P=1000\\\\\Rightarrow\ P=\dfrac{1000}{0.20}\\\\\Rightarrow\ P=5000[/tex]
2P = 2(5000)=10000
Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.
At the interest rate of 6%, amount invested is; $5000
At interest rate of 7%, amount invested is; $10000
Let P be the initial amount that Ms. Hagan invested in the 6% interest account that
Since she invested twice as much in the 7% interest account as in the 6% interest account, then;
Initial amount invested in the 7% interest account = 2P
Formula for Simple interest is;
I = Principal × rate × time
Interest after 1 year for the 6% interest account is,
I_1 = P × 0.06 × 1
I_1 = 0.06P
Interest after 1 year for the 7% interest account is,
I_2 = 2P × 0.07 × 1
I_2 = 0.14P
Total investment pays her $1000 after a year. Thus;
0.06P + 0.14P = 1000
0.2P = 1000
P = 1000/0.2
P = $5000
Then amount initially invested in the 7% interest account = 2P = $10000
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960 meters in 15 seconds.
One alloy is 2 parts iron and 3 parts silver and another alloy is 7 parts iron to 3 parts silver. How much of each should be combined to produce a 30 pound alloy that is one part iron to one part silver
Answer:
Let x be your first alloy
2/5x+7/10(30-x)=1/2(30)
4x+210-7x=150
3x=60
x=20
So, you need 20 lbs of the first alloy, and 10 parts of the second to make 30 lbs of half iron and half silver alloy
Answer:
20 pounds for first 10 for second.
Step-by-step explanation:
What is the length of LM if L(3,4) and M(1,-2)? Round to the nearest tenth.
A) 7.2
B) 6.0
C) 2.8
D) 6.3
Answer:
We conclude that the length of LM if L(3,4) and M(1,-2) will be:
[tex]d = 6.3[/tex]
Hence, option D is correct.
Step-by-step explanation:
Given
L(3,4)M(1,-2)Determining the length of LM
(x₁, y₁) = (3, 4) (x₂, y₂) = (1, -2)The length of the distance between (x₁, y₁) and (x₂, y₂) can be determined using the formula
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)
[tex]=\sqrt{\left(1-3\right)^2+\left(-2-4\right)^2}[/tex]
[tex]=\sqrt{2^2+6^2}[/tex]
[tex]=\sqrt{4+36}[/tex]
[tex]=\sqrt{40}[/tex]
[tex]=\sqrt{4\times 10}[/tex]
[tex]=\sqrt{2^2\times \:10}[/tex]
[tex]=2\sqrt{10}[/tex]
[tex]=6.3[/tex]
Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:
[tex]d = 6.3[/tex]
Hence, option D is correct.
How many births occur among women under the age of 20?
Answer:
what do you mean?
Step-by-step explanation:
Michael won 35 games of tic tac toe. this is 70% percent of the games he played. how many games did he play?
Answer:
50
Step-by-step explanation:
35=70%*x
35=70/100*x
35=7/10*x
350=7*x
x=50
Write an equation of the line in slope-intercept form.
Answer:
y = 2x+3
Step-by-step explanation:
You can see that the line crosses the y-axis at (0,3), so the y-intercept is 3.
To find the slope, compare the coordinates of the two points marked on the line, (0,3) and (-3,-3).
slope = Δy/Δx = ((-3)-3)/((-3)-0) = (-6)/(-3) = 2
Slope-intercept equation for line of slope 2 and y-intercept 3:
y = 2x+3
which do you think is quadrilaterals
Answer: Only the second image
Step-by-step explanation:
Answer:
2nd and last
Step-by-step explanation:
the ones with 4 sides are quadrilaterals
Simplify (3x^2+5x) + (6x-6x^2+2)
Answer:
-3x^2+11x+2
Step-by-step explanation:
hope this helps!